"Bernstein polynomial"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) (→노트: 새 문단) |
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===소스=== | ===소스=== | ||
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+ | == 메타데이터 == | ||
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+ | ===위키데이터=== | ||
+ | * ID : [https://www.wikidata.org/wiki/Q826841 Q826841] |
2020년 12월 26일 (토) 05:07 판
노트
위키데이터
- ID : Q826841
말뭉치
- Recently the Bernstein polynomials have been defined and studied in many different ways, for example, by q-series, by complex functions, by p-adic Volkenborn integrals, and many algorithms (cf.[1]
- The Bernstein polynomial bases vanish except the first polynomial at , which is equal to 1 and the last polynomial at , which is also equal to 1 over the interval .[2]
- Many properties of the Bézier curves and surfaces come from the properties of the Bernstein polynomials.[2]
- Due to the increasing interest on Bernstein polynomials, the question arises of how to describe their properties in terms of their coefficients when they are given in the Bernstein basis.[2]
- Up to now, and to the best of our Knowledge, many formulae corresponding to those mentioned previously are unknown and are traceless in the literature for Bernstein polynomials.[2]
- Bernstein polynomials can be generalized to k dimensions.[3]
- The Bernstein polynomials of degree form a basis for the power polynomials of degree .[4]
소스
메타데이터
위키데이터
- ID : Q826841